4234244400 has 360 divisors, whose sum is σ = 15930074160. Its totient is φ = 1037352960.

The previous prime is 4234244387. The next prime is 4234244401. The reversal of 4234244400 is 44424324.

It is a happy number.

4234244400 is a `hidden beast` number, since 4 + 234 + 24 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (4234244401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2630796 + ... + 2632404.

It is an arithmetic number, because the mean of its divisors is an integer number (44250206).

Almost surely, 2^4234244400 is an apocalyptic number.

4234244400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965037080).

4234244400 is an abundant number, since it is smaller than the sum of its proper divisors (11695829760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4234244400 is a wasteful number, since it uses less digits than its factorization.

4234244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4234244400 is about 65071.0719137160. The cubic root of 4234244400 is about 1617.8017738835.

Adding to 4234244400 its reverse (44424324), we get a palindrome (4278668724).

The spelling of 4234244400 in words is "four billion, two hundred thirty-four million, two hundred forty-four thousand, four hundred".